SOLUTION: Any time I have a problem dealing with fractions I freak out a little. Graph the equation using the slope and the y-intercept, I believe the slope is the 7/3, but then I do not

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Question 235094: Any time I have a problem dealing with fractions I freak out a little.
Graph the equation using the slope and the y-intercept, I believe the slope is the 7/3, but then I do not know what to do after that
y= 7/3x + 7

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
Are you supposed to draw the graph?

The slope is (7/3)

That means that for every change of 3 in x, you get a change of 7 in y.

7 is the y-intercept.

The slope-intercept form of the equation of a straight line is y = mx + b

In your equation, m = (7/3) and b = 7

To graph, just plot some points.

Pick multiples of 3 for x to make the math go easier.

When x = 0, y = 7/3 * 0 + 7 which makes it equal 7.

When x = 3, y = 7/3 * 3 + 7 which makes it equal to 7 + 7 = 14

When x = 6, y = 7/3 * 6 + 7 which makes it equal to 14 + 7 = 21

Plot the points:

(x,y)

(0,7)
(3,14)
(6,21)

and you have your straight line graphed.

The graph would look like:

graph%28600%2C600%2C-15%2C15%2C-35%2C35%2C%287%2F3%29%2Ax%2B7%29

A picture of the graph showing the intersection points can be found here !!!!!

The picture shows that when:

x = 0, (7/3)*0 + 7 = 0 + 7 = 7

x = 3, (7/3)*3 + 7 = 7 + 7 = 14

x = 6, (7/3)*6 + 7 = 14 + 7 = 21